What is the surface area of the triangular prism if a = 30 units, b = 25 units, c = 15 units, w = 4 units, and h = 20 units?

Answer:

Step-by-step explanation:

Given that :-

To Find :-

Solution :-

The fist expression x + y < 5 states that sum of x and y could be any rational number less than 5 .

And the second expression 3 < x < 5 states that value of x could be any rational number between 3 and 5.

Let's check which option suits best.

Is it possible to have value of 8/3 by y ?

→ x + 8/3 < 5

→ x < 5 - 8/3

→ x = 7/3

7/3 is a rational number . So y as 8/3 is possible value.

→ 7/3 = 2.33

But value of x should be greater than 3 .

So option A is wrong.

Is it possible to have value 2 by y ?

→ x +2 < 5

→ x < 5-2

→ x < 3 .

But value of X should be greater than 3.

So option B is also incorrect.

Is it possible to have value 0 by y?

→ x +0 <5

→ x < 5

It also fullfill 2nd expression that X should have value less than 5 and greater than 3.

So option C is valid .

Value of y is 0 .

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)

Answer:

Plato answer.

Answer:

(−3, −2) (−2, −1) (−1, −2) (−1, −4)

Angle of Rotation (CCW)    

90°   (2, −3) (1, −2) (2, −1) (4, −1)

180°  (3, 2) (2, 1)  (1, 2)         (1, 4)

270° (−2, 3) (−1, 2) (−2, 1) (−4, 1)

360° (−3, −2) (−2, −1) (−1, −2) (−1, −4)

Step-by-step explanation:

the x-intercepts are the points, where y=0.

x² - 6x + 5 = 0

with experience I see right away, this is true for x=1 and x=5.

but let's solve this formally.

the general solution to a quadratic excision is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -6

c = 5

x = (6 ± sqrt((-6)² - 4×1×5))/2 = (6 ± sqrt(36-20))/2 =

= (6 ± sqrt(16))/2 = (6 ± 4)/2 = 3 ± 2

x1 = 3+2 = 5

x2 = 3-2 = 1

so, the 2 x-intercept points are

(1, 0) and (5, 0)

The first inequality, \(y > 3x + 1\), denotes the area above the positively sloping line, \(y = 3x + 1\). The area line \(y = 3x - 3\)—which additionally has a positive slope—is represented by the second inequality, \(y < 3x - 3\).

The idea of inequality, which is the state of not feeling equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories.

Less than, larger than, fewer than or equivalent to, and more than or equivalent to are the four fundamental inequalities. Except for a particular formula for adding and subtracting, solving inequalities includes all the same processes as solving equations.

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The shaded regions do not overlap, and there is no common region that satisfies both inequalities. Therefore, there are no solutions that satisfy both inequalities simultaneously.

What is inequality?

An inequality is a mathematical statement that shows the comparison between two expressions by using inequality symbols like "<", ">", "<=", or ">=". It suggests that one expression is either less than or greater than the other expression, or not equal to it.

The system of inequalities is:

y > 3x + 1

y < 3x - 3

On the coordinate plane, two solid straight lines are shown, and the regions to the left of the first line and to the right of the second line are shaded.

The first line has a positive slope and goes through (−2, −5) and (0, 1). To find the equation of this line, we can use the slope-intercept form:

y - (-5) = m(x - (-2))

y + 5 = m(x + 2)

1 - (-5) = m(0 + 2)

6 = 2m

m = 3

So, the equation of the first line is:

y + 5 = 3(x + 2)

y = 3x + 1

The second line has a positive slope and goes through (0, -3) and (1, 0). To find the equation of this line, we can use the slope-intercept form:

y - (-3) = m(x - 0)

y + 3 = mx

0 - (-3) = m(1 - 0)

3 = m

So, the equation of the second line is:

y + 3 = 3x

y = 3x - 3

Now, we can shade the regions that satisfy each inequality:

y > 3x + 1: everything above the line y = 3x + 1 is shaded

y < 3x - 3: everything below the line y = 3x - 3 is shaded

The shaded regions do not overlap, and there is no common region that satisfies both inequalities. Therefore, there are no solutions that satisfy both inequalities simultaneously.

So, the correct answer is:

There are no solutions.

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The multiplication of the number 58 x 7 will be 406.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given numbers 58 and 7. The multiplication will be done as below:-

 58

x 7           carry - 5

___          35 + 5 = 40

406

Therefore, the multiplication of the number 58 x 7 will be 406.

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Answer:

3/7y= -8/7

Step-by-step explanation:

reduce the greatest common factor on both sides of th equation

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

\( = lbh\)

\( = 85 \times 65 \times 30\)

\( = 165750 {cm}^{3} \)

Capacity of the tank

\( = 165750ml\)

\( = 165.75l\)

Answer:

B is ur answer! Divide 8 by 3

Step-by-step explanation:

PEMDAS

Answer:

The factory can make 12,010 baseballs in 5 hours.

Step-by-step explanation:

We have to multiply 2,402 * 5 to find the answer.

5 * 2,402 = 12,010

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x=basketball in 5 hours

2,402=1 hours

which means x=5 hours

Multiply the terms:

2,402x5=12010

x=12010

Answer:

the multiplacative inverse of ⅔ is 3/2 because when we multiply them both it returns 1

2/3 x 3/2 = 1

The admissions office wishes to estimate the average cost of textbooks for all students, represented by the parameter μ (the population mean).

There are steps followed to determine the parameter the admissions office wishes to estimate:

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2,420 handles is the correct option. 2,420 handles must be molded and sold weekly to break even.

To determine the number of handles that need to be molded and sold weekly to break even, we'll follow these steps:

Step 1: Calculate the contribution margin per handle.

The contribution margin represents the amount left from the selling price after deducting the variable cost per unit.

Contribution margin per handle = Selling price per handle - Variable cost per handle

Given:

Selling price per handle = $2.20

Variable cost per handle = $0.20

Contribution margin per handle = $2.20 - $0.20 = $2.00

Step 2: Calculate the total fixed costs.

The fixed costs remain constant regardless of the number of handles produced and sold.

Given:

Fixed cost = $4,840 per week

Step 3: Calculate the break-even point in terms of the number of handles.

The break-even point can be calculated using the following formula:

Break-even point (in units) = Total fixed costs / Contribution margin per handle

Break-even point (in units) = $4,840 / $2.00

Break-even point (in units) = 2,420 handles

Therefore, the company needs to mold and sell 2,420 handles weekly to break even.

The correct answer is: 2,420 handles.

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Answer:

|-3| > 1

Step-by-step explanation:

Well |-3| = 3

3 > 1

1 < 3

(you can replace 3 for |-3| in those up there^)

Answer:

x=-1

Step-by-step explanation:

Given,

\(2(\dfrac{x-3}{5})=x-\dfrac{3}{5}\)

To Find : x

\(\dfrac{2(x-3)}{5}=x-\dfrac{3}{5}\)

\(\dfrac{2x-6}{5}=x-\dfrac{3}{5}\)

\(\dfrac{2x}{5}-\dfrac{6}{5}=x-\dfrac{3}{5}\)

\(\dfrac{2x}{5}-x = \dfrac{6}{5}-\dfrac{3}{5}\)

\(\dfrac{2x-5x}{5} = \dfrac{6-3}{5}\)

\(\dfrac{-3x}{5} = \dfrac{3}{5}\)

\(x = -1\)

Hence, the value of x is -1.

Answer:

All of these are false based on your question

Step-by-step explanation:

F. 10.2<10.2

G. 13.6<13.26

H. 1.7>17.1

J. 8.5>8.5

Answer: H .5p > 17.1

Step-by-step explanation: Step 1: Divide both sides by 5/5p 5 > 17.1/5 p>3.42

Hey there! I'm happy to help!

To find the x value of the midpoint, you add the x values and divide by 2.

-7+6=-1

-1/2=-1/2

For the y value, you add the y values and divide by 2.

-7-8=-15

-15/2=-7 1/2

Therefore, our midpoint is (-1/2, -7 1/2).

Have a wonderful day! :D

The length x of a side of the small inner square can be determined using the properties of similar triangles.

To find the length x, we can set up a proportion between the small inner square and the larger outer square.

Let's denote the side length of the small inner square as s and the side length of the larger outer square as S.

Since the small inner square is completely contained within the larger outer square, the ratio of their side lengths will be the same as the ratio of their corresponding sides.

Therefore, we can set up the following proportion:

s / S = x / (x + 10)

Here, the x + 10 represents the side length of the larger outer square, as it is 10 units longer than the side length of the small inner square.

To solve for x, we can cross-multiply the proportion:

s * (x + 10) = x * S

Expanding the equation:

sx + 10s = xS

Rearranging the equation to isolate x:

sx - xS = -10s

Factoring out the common term x:

x(s - S) = -10s

Dividing both sides by (s - S):

x = -10s / (s - S)

Now, we have an expression for x in terms of s and S.

It's important to note that the given information is insufficient to find the exact value of x without additional measurements or equations. The value of x will depend on the specific dimensions of the small inner square and the larger outer square.

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Answer:

\(\frac{8}{11}\)

Step-by-step explanation:

Since the fractions are like, their denominators are 11, then

consider the values that sum to give 18 , that is

1 + 9 + ? = 18

10 + ? = 18 ( subtract 10 from both sides )

? = 8

Then the third fraction is \(\frac{8}{11}\)

The statement is true. Information system planning is aimed at determining how a company will utilize and control its information system resources in order to achieve its strategic goals.

Information system planning involves the process of outlining the strategies and actions required to effectively leverage information system resources within an organization. It encompasses various aspects such as identifying the information needs of the business, assessing available resources, defining goals and objectives, and formulating a roadmap for implementing and managing the information systems. The primary purpose of this planning is to align the use of information system resources with the overall strategic objectives of the firm. By doing so, organizations can ensure that their information systems are utilized efficiently, enabling them to make informed decisions, improve operational efficiency, enhance competitiveness, and support the achievement of strategic goals. Therefore, the statement stating that the main objective of information system planning is to clarify how a firm intends to use and manage information system resources to fulfill its strategic objectives is indeed true.

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Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

Answer:60.3cm^3

Step-by-step explanation:

i got it wrong and that was the answer lol

Answer:

Multiply the first equation by 2

2(2x+y=5) to get 4x + 2y = 10

add the second equation 3x-2y=4

4x + 3x + 2y + -2y = 10 + 4

7x = 14

x = 2

...

Multiply the first equation by 3 and the second equation by -2 then add

3(2x+y=5) to get 6x + 3y = 15

-2(3x-2y=4) to get -6x + 4y = -8

add them

6x + -6x + 3y + 4y = 15 + -8

7y = 7

y = 1

...

x = 2 , y = 1

(2, 1) is the solution

...

check

2(2) + 1 = 5

4 + 1 = 5

5 = 5

Correct

Hope it helps

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Thank you

Answer:

y >_ 2x-2

the 3rd one

Step-by-step explanation:

Please mark as brainliest if answer is right  

Have a great day, be safe and healthy  

Thank u  

XD

The conserved quantity along geodesics is d/dξ (ds/dξ)² = 0. The required metric is, ds² = - dt² + dx² = a²cosh²(at)(dT)² - a²sinh²(at)(dX)² = a²(T)² - (X)²

(1,1) are the coordinates of 2-dimensional Minkowski space and (T, X) are coordinates in a frame that is accelerating. They are related via t = ax sinh(aT) r = ax cosh(at)

(i) Finding the metric in the accelerating frame by transforming the metric of Minkowski space ds² = -dt² + dx² to the coordinates (T, X) is,

We have the transformation relation as,

t = ax sinh(aT)

r = ax cosh(aT)

The inverse transformation relations will be,

T = asinh(at)

x = acosh(at)

We will calculate the required metric using the inverse transformation.

The chain rule of differentiation is used to calculate the derivative with respect to t.

dt = aacosh(at)dX

dr = - aasinh(at)dt

So the required metric is,

ds² = - dt² + dx² = a²cosh²(at)(dT)² - a²sinh²(at)(dX)² = a²(T)² - (X)²

(ii) The geodesic Lagrangian in the (T, X) coordinates is given by,

L = ½ (ds/dξ)²,

where ds² = a²(T)² - (X)².

The conserved quantity along geodesics is d/dξ (ds/dξ)² = 0.

(iii) From the condition L = -1, we get,

-1 = ½ (ds/dξ)²,

which gives ds/dξ = i.

We have ds² = -dt² + dx² = - a²cosh²(at)(dT)² + a²sinh²(at)(dX)² = - a²(T)² + (X)².

Substituting ds/dξ = i in the above equation, we get dX/dT = ±i.

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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The new images has vertices Q´ (-12, 0), R´  (0, 0), P´(-12, -8),  and the type of dilation is contraction.

Dilation is the process of modifying the dimensions of an object or shape by varying some scale variables. For instance, a circle with a radius of 10 units gets shrunk to a circle with a radius of 5 units. This technique is applied in photography, fine art, logo design, and other fields.

When we dilate the points of a given figure, we simply multiply each x-coordinate and y-coordinate by the scale factor.

Here the points are P(-3,-2),Q(-3,0), and R(0, 0) and the scale factor is

k = 4

Therefore,

⇒ Q (-3,0) → Q´ (-3 × 4,0 × 4) = (-12, 0)

⇒ R (0, 0) → R´  (0, 0)

⇒ P (-3, -2) →  T´  (-3 × 4, -2 × 4) = (-12, -8)

Thus, the new images has vertices Q´ (-12, 0), R´  (0, 0), P´(-12, -8),

Also, the type of dilation is contraction.

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